101580091200 has 840 divisors, whose sum is σ = 437291219904. Its totient is φ = 22643712000.

The previous prime is 101580091189. The next prime is 101580091219. The reversal of 101580091200 is 2190085101.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37193835 + ... + 37196565.

Almost surely, 2^101580091200 is an apocalyptic number.

101580091200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101580091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218645609952).

101580091200 is an abundant number, since it is smaller than the sum of its proper divisors (335711128704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101580091200 is a wasteful number, since it uses less digits than its factorization.

101580091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 101580091200 in words is "one hundred one billion, five hundred eighty million, ninety-one thousand, two hundred".